The structure of f(R)f(R)-brane model

Recently, a family of interesting analytical brane solutions were found in $f(R)$ gravity with $f(R)=R+\alpha R^2$ in Ref. [Phys. Lett. B 729, 127 (2014)]. In these solutions, inner brane structure can be turned on by tuning the value of the parameter $\alpha$. In this paper, we investigate how the parameter $\alpha$ affects the localization and the quasilocalization of the tensorial gravitons around these solutions. It is found that, in a range of $\alpha$, despite the brane has an inner structure, there is no graviton resonance. However, in some other regions of the parameter space, although the brane has no internal structure, the effective potential for the graviton KK modes has a singular structure, and there exists a series of graviton resonant modes. The contribution of the massive graviton KK modes to the Newton's law of gravity is discussed shortly.Comment: v2: 10 pages, 8 figures, to be published in EPJ

rac-(E)-3-[1-(2-Chloro­phen­yl)eth­yl]-5-methyl-N-nitro-1,3,5-oxadiazinan-4-imine

In the title compound, C12H15ClN4O3, which has potential insecticidal activity, the oxadiazine ring and the benzene ring make a dihedral angle of 84.63 (2)° to one another. The crystal packing involves weak inter­molecular C—H⋯O hydrogen bonds

(E)-3-[1-(2,4-Difluoro­phen­yl)eth­yl]-5-methyl-N-nitro-1,3,5-oxadiazinan-4-imine

The 1,3,5-oxadiazinane ring in the title compound, C12H14F2N4O3, has a conformation inter­mediate between half-chair and screw-boat. The crystal structure is stabilized by weak inter­molecular C—H⋯O hydrogen bonds. Weak π–π inter­actions are indicated by the relatively long centroid–centroid distance of 3.9199 (12) Å and inter­planar distance of 3.803 Å between symmetry-related benzene rings from neighbouring mol­ecules

Noncollinearity-modulated electronic properties of the monolayer CrI3_3

Introducing noncollinear magnetization into a monolayer CrI$_3$ is proposed to be an effective approach to modulate the local electronic properties of the two-dimensional (2D) magnetic material. Using first-principles calculation, we illustrate that both the conduction and valence bands in the monolayer CrI$_3$ are lowered down by spin spiral states. The distinct electronic structure of the monolayer noncollinear CrI$_3$ can be applied in nanoscale functional devices. As a proof of concept, we show that a magnetic domain wall can form a one-dimensional conducting channel in the 2D semiconductor via proper gating. Other possible applications such as electron-hole separation and identical quantum dots are also discussed